2272521093120 has 504 divisors, whose sum is σ = 8344429611336. Its totient is φ = 570156908544.

The previous prime is 2272521093119. The next prime is 2272521093233. The reversal of 2272521093120 is 213901252722.

2272521093120 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 521 + 0 + 9 + 3 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 369975361536 + 1902545731584 = 608256^2 + 1379328^2 .

It is a super-2 number, since 2×2272521093120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 802159224 + ... + 802162056.

It is an arithmetic number, because the mean of its divisors is an integer number (16556407959).

Almost surely, 2^{2272521093120} is an apocalyptic number.

2272521093120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2272521093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172214805668).

2272521093120 is an abundant number, since it is smaller than the sum of its proper divisors (6071908518216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2272521093120 is an frugal number, since it uses more digits than its factorization.

2272521093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 2272521093120 in words is "two trillion, two hundred seventy-two billion, five hundred twenty-one million, ninety-three thousand, one hundred twenty".